13414454400 has 96 divisors (see below), whose sum is σ = 44183890800. Its totient is φ = 3577185280.

The previous prime is 13414454353. The next prime is 13414454411. The reversal of 13414454400 is 445441431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689070 + ... + 708269.

Almost surely, 2^13414454400 is an apocalyptic number.

13414454400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13414454400 is an abundant number, since it is smaller than the sum of its proper divisors (30769436400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13414454400 is a wasteful number, since it uses less digits than its factorization.

13414454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397366 (or 1397349 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 13414454400 its reverse (445441431), we get a palindrome (13859895831).

The spelling of 13414454400 in words is "thirteen billion, four hundred fourteen million, four hundred fifty-four thousand, four hundred".